What is the Least Common Multiple of 35609 and 35614?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 35609 and 35614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35609 and 35614, than apply into the LCM equation.

GCF(35609,35614) = 1
LCM(35609,35614) = ( 35609 × 35614) / 1
LCM(35609,35614) = 1268178926 / 1
LCM(35609,35614) = 1268178926

Least Common Multiple (LCM) of 35609 and 35614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35609 and 35614. First we will calculate the prime factors of 35609 and 35614.

Prime Factorization of 35609

Prime Factorization of 35614

Now multiplying the highest exponent prime factors to calculate the LCM of 35609 and 35614.

LCM(35609,35614) = 7¹ × 5087¹ × 2¹ × 17807¹
LCM(35609,35614) = 1268178926